English

On the invariance of super-linearization under polynomial automorphisms

Optimization and Control 2025-03-19 v1

Abstract

We prove that the super-linearizability of polynomial systems is preserved by all currently known classes of polynomial automorphisms of Rn\R^n. We then establish connections between such automorphisms and a sufficient condition for super-linearizability.

Keywords

Cite

@article{arxiv.2503.13849,
  title  = {On the invariance of super-linearization under polynomial automorphisms},
  author = {Anmol Harshana and Mohamed-Ali Belabbas},
  journal= {arXiv preprint arXiv:2503.13849},
  year   = {2025}
}
R2 v1 2026-06-28T22:24:39.472Z